Evelyn has $524.96 in her checking account. She must maintain a $500 balance to avoid a fee. She wrote a check for $32.50 today. Write an inequality that would be used to solve for the least amount of money she needs to deposit to avoid a fee. 524.96 − 32.50 + x ≥ 500 524.96 − 32.50 + x ≤ 500 524.96 + 32.50 − x ≥ 500 524.96 + 32.50 − x ≤ 500

Answers

Answer 1

Answer:

524.96 − 32.50 + x ≥ 500

Amount need to deposit = $7.54

Step-by-step explanation:

Given:

Amount in checking account = $524.96

Maintain amount = $500

Amount of check = $32.50

Find:

Amount need to deposit

Computation:

Assume, amount need to deposit = x

So,

For avoiding fee

524.96 − 32.50 + x ≥ 500

x = 7.54

Amount need to deposit = $7.54


Related Questions

Jack wants to purchase a Wallet for $33. He currently has $18 . By how much money will he be in debt if he decides to borrow the difference ?

Answers

Answer:

$15 in debt

Step-by-step explanation:

Subtract 33 from 18

18 - 33

= -15

So, he will be $15 in debt

Select all that apply.
To which sets does
belong?
5/8
real numbers
rational numbers
Irrational numbers
Integers
whole numbers
natural numbers

Answers

Answer:

real, rational

Step-by-step explanation:

The set to which the fraction 5/8 belongs to are real numbers and rational numbers.

What are real numbers and rational numbers?

A real number is a number that is both a rational number and an irrational number. A rational number is a number that can be expressed as a fraction of two integers

Examples of rational numbers are 1, 0, - 1, 5/8.

To learn more about rational numbers, please check: https://brainly.com/question/20435423

#SPJ2

What are the x- and y-coordinates of point C, which partitions the directed line segment from A to B into the ratio 5:8? Round to the nearest tenth, if necessary. (–2.2, –6.3) (–2.4, –6.4) (2.7, –0.7) (1.2, –4.7)

Answers

Answer:

(1.2, –4.7)

Step-by-step explanation:

Since in the question it is mentioned that on the plane of coordinate, a line is made from point A (7,-2) to point B(-8,-9)

Also, the ratio of A to B is 5:8

Based on this, the x and y coordinates at point C is

[tex]= [\frac{5\times (-8) + 8\times 7}{5 + 8} , \frac{5\times (-9) + 8\times -2}{5 + 8}]\\\\= [\frac{16}{3}, \frac{-61}{13}][/tex]

= (1.2, –4.7)

Hence, the x and y coordinates of point C is (1.2, –4.7)

Therefore the last option is correct

Answer:

D

Step-by-step explanation:

A sample of gold weighs 100 grams and has a volume of 5.18 cm'. What is the density of gold?

Answers

19.31 g/cm^3... I’m assuming when you said cm’ you meant cm^3

Cassie is baking cookies from scratch. Her recipe calls for 7/8 of a cup of sugar per batch. If she is baking Just 2/3 of abatch of cookies, how much sugar should she use?

Answers

Answer

A

Step-by-step explanation:

1/1 1/4 1/9 what's the pattern

Answers

Answer:

adding a fifth

Step-by-step explanation:

Answer:

adding a fifth

Step-by-step explanation:

duhhhhhhhhhhhh

Clint and Jim rode their bicycles to Mill Park at an average of 8 mi/hr. It took then 1 hr longer to return home riding at an average of 7 mi/hr on a route that was 4 mi longer than their route. How long were they riding their bicycles? How man miles did they ride each way?

Answers

Answer:

Total time for which they ride = [tex]\bold{7\ hours}[/tex]

Number of miles they ride each way = 24 mi

Step-by-step explanation:

Average speed = 8 mi/hr

Let the Distance to Mill Park = [tex]D[/tex] mi

Let the time taken = [tex]t[/tex] hours

Formula:

[tex]Distance = Speed \times Time[/tex]

[tex]\Rightarrow D = 8t[/tex] ..... (1)

Now, when average speed = 7 mi/hr

Time taken is 1 hour more, i.e. Time = [tex]t+1[/tex] hours

Distance traveled is 4 mi more, i.e. [tex]D+4[/tex] mi

Using the Formula:

[tex]Distance = Speed \times Time[/tex]

[tex]D+4=7\times (t+1)[/tex]

From equation (1):

[tex]8t+4=7t+7\\\Rightarrow t=3\ hours[/tex]

From equation (1):

[tex]D = 8 \times 3 = 24\ mi[/tex]

Total time for which they ride = [tex]t+t+1 = \bold{7\ hours}[/tex]

Number of miles they ride each way = 24 mi

There are 4 circles and 20 triangles. What is the simplest ratio of circles to total shapes?

Answers

Answer:

1 :5

Step-by-step explanation:

[tex]4\:circles\\20\:triangles\\\\Total\:shapes = 20+4 =24\\\\Circle : Total\:shape\\4 : 20\\\\Cross-cancel\:common\:factor ; 4\\4\div 4 =1\\20\div 4 =5\\\\= 1 :5[/tex]

Answer:

the answer is 1:5 bc if you do your time table connect it all it would be 1 to 5 sorry if you do this and it takes so long but hope this helped :)

Simplify. 1/3(1−1/4)^2

Answers

Answer:

3

-

16

Step-by-step explanation:

The sum of x and 7 is less than -3

Answers

X+7= is equal or less than -3

Answer:

[tex]x+7<-3[/tex]

Step-by-step explanation:

Sum = +

Less than = <

Merge all together accordingly you get ;

[tex]x +7<-3[/tex]

If you solve the equation , you will get;

x<-10

30 1 5 miles in 2 3 of an hour. What is the average speed, in miles per hour, of the car?

Answers

Answer:

131.086

Step-by-step explanation:

Point G is on line segment FH. Given FG = 4 and FH = 20, determine the
length GH

Answers

Answer:

16

Step-by-step explanation:

20-4=16

There were 73 runners from 2 schools on a combined track team. If 31 were
from Edison Elementary, how many were from Lincoln Elementary? Write and
solve an algebraic equation.

Answers

Answer:

s=(73-31)

31+s=73

s= 42

Step-by-step explanation:

In order to get an exact count of the Lincoln Elementary students you just have to subtract 31 from 73 to get 42 students. Therefore we get s to represent the Lincoln students, so the equation would be 31+s=73.

Given f(x) = -3x + 5, find f(-6).

Answers

Answer:

23

Step-by-step explanation:

Since it says f(x) that means that when we see f(-6) we are substituting x for -6.

This means that the equation will become

f(-6) = -3(-6) + 5

First multiply -3 and -6 (18)

f(-6) = 18 + 5

Next add 18 and 5 (23)

This means that f(-6) = 23

23

This problem is basically asking you to plug in -6 for x and solve using the order of operations (PEMDAS)

[tex]f( - 6) = - 3( - 6) + 5[/tex]

[tex]f( - 6) = 18 + 5[/tex]

[tex]f( - 6) = 23[/tex]

he inverse of F(C) = 9 5 C + 32 is C(F) = F −

Answers

Answer:

C(F) = 5/9 F − 160/9

Step-by-step explanation:

[tex]f(c) = \frac{5}{9} (c-32)[/tex] will be the required inverse function of f(c).

The given function is:

[tex]f(c) = \frac{9}{5} c +32[/tex]

What is the inverse of a function?

If there is a function f(x), then a function g(x) is called the inverse of the function if f(x) is a bijective function and the domain of f(x) should be equal to the range of g(x) while the range of f(x) should be equal to the domain of g(x).

[tex]f(c) = \frac{9}{5} c +32[/tex],

let us suppose [tex]y= \frac{9}{5} c +32[/tex]

[tex]y-32 = \frac{9}{5} c[/tex]

[tex]c = \frac{5}{9} (y-32)[/tex]

[tex]c = \frac{5}{9} (f(c)-32)[/tex]

In order to get the inverse function, interchange c and f(c),

[tex]f(c) = \frac{5}{9} (c-32)[/tex]

Therefore, [tex]f(c) = \frac{5}{9} (c-32)[/tex] will be the required inverse function of f(c).

To get more about inverse functions visit:

https://brainly.com/question/1144043

The vertices of a triangle are listed below. E(-1, 2), F(-5, -1), G(-1, -4) What is the area of the triangle? A. 24 square units B. 12 square units C. 16 square units D. 6 square units

Answers

Answer:

B. 12 square units

Step-by-step explanation:

Answer: 12 square units

Step-by-step explanation: 1/2(6)(4)

Can somebody help?

Answers

Answer:

a its the first one

Step-by-step explanation:

because i did the math and i have dont this question before

Answer:

Angles 1 and 2 are supplementary

Step-by-step explanation:

HELP PLEASE !
ASAP
a=
b=
c=

Answers

Answer:

a = 0, b = 6, c = 4

Step-by-step explanation:

Given

f(x) = - x² + x + 6 , then

f(- 2) = - (- 2)² + (- 2) + 6 = - 4 - 2 + 6 = 0 ← a

f(0) = 0 + 0 + 6 = 6 ← b

f(2) = - (2)² + 2 + 6 = - 4 + 2 + 6 = 4 ← c

Answer:

a = 0

b = 6

c = 4

Step-by-step explanation:

f(x) = -x² + x + 6

a = -(-2)² + (-2) + 6 = 0

b = -(0)² + (0) + 6 = 6

c = -(2)² + (2) + 6 = 4

33/3 is classified as?Select all that apply * Natural Number Whole Number Integer Rational Number

Answers

Answer:

Rational Number

Step-by-step explanation:

A rational number is, by definition, a number that can be expressed as the quotient or fraction of p/q of two integers, a numerator p and a non-zero denominator q.  33/3 is a fraction of p/q of two integers, a numerator p, or 33, and a non-zero denominator q, or 3.  This makes 33/3 a rational number.

Simplify: (use order of operations)
18 ÷ 2 - (98÷2) + 48
*remember to explain your steps!

Answers

Answer:

8

Step-by-step explanation:

Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

what is the pattern in the sequence 0, 1, 1, 2, 3, 5, 8, 13, 21,

Answers

The Fibonacci Sequence is the series of numbers: 0, 1, 1, 2, 3, 5, 8, 13, 21 and so on.

Boyle's Law states that the volume of a fixed amount of gas (at constant temperature) is inversely proportional to the pressure of the gas. A pressure of 46 pounds per square inch (psi) has a volume of 360 cubic feet. What is the particular equation that represents the problem situation?

Answers

Step-by-step explanation:

According to Boyle's law,

[tex]$ V \propto \frac{1}{P} $[/tex]

or  [tex]$ V = \frac{k}{P} $[/tex]     , where k is the proportionality constant

Given that volume is 360 cubic feet and the pressure is 46 psi.

Therefore, replacing V with 360 cubic feet and P with 46 psi in the above equation gives

[tex]$ 360 = \frac{k}{46} $[/tex]

(360)(46) = k

k = 16560

If 1/3 of a bag of fertilizer will cover 1/9 of a lawn, how many bags of fertilizer are needed for the entire lawn?

Answers

Answer:

3 bags

Step-by-step explanation:

9*(1/3 bag) = 3 bags

Answer question 8,9 and 10 with full details.

Answers

Answer:

See Explanation

Step-by-step explanation:

8. (1)

Area of trapezoid = 1/2(sum of || sides) *perpendicular distance

36 =1/2(x+ y) * 6

36 = ((x + y)*3

36/3 = x + y

12 = x + y

x + y = 12.... (1)

8(2)

It is given that:

x = 2y....(2)

From equations (1) & (2)

2y + y = 12

3y = 12

y = 12/3

y = 4

From equation (2)

x = 2y = 2*4

x = 8

9.

Area of square = 1 square m

Side of square = 1 m

Area of circle = 1 square m

[tex]\pi {r}^{2} = 1 \\ {r}^{2} = \frac{1}{\pi} \\ r = \frac{1}{ \sqrt{\pi} } \\ c = 2\pi \: r \\ c = 2\pi \times \frac{1}{ \sqrt{\pi} } \\ c = 2 \sqrt{\pi} \\ c = 2 \sqrt{3.14} \\ c = 2 \times 1.77200451 \\ c = 3.54400902 \\ c = 3.544 \\ difference = 3.544 - 1 = 2.544 \\difference \approx \: 2.54[/tex]

cuánto es 0.45 de 50=​

Answers

Answer:

es 0.225 ... I believe so

use the given tables to evaluate: f(g(1))

Answers

B) f(g(1))= -8 is your answer

Simplify 3/5 • 3/4 .

Answers

Answer:

9/20 as a faction as a decimal 0.45

Step-by-step explanation:

Simplify 3/5 • 3/4

I hope this help

I need help with #4 please! Thank you!

Answers

Answer:

$54.25

Step-by-step explanation:64-9.75=54.75

Answer:64-9.75=54.25

Step-by-step explanation:

The daily production cost, C, for x units is modeled by the equation:
C = 200 – 7x + 0.345x2

Answers

c(x) = 200 - 7x + 0.345x^2

Domain is the set of x-values (i.e. units produced) that are feasible. This is all the positive integer values + 0, in case that you only consider that can produce whole units.

Range is the set of possible results for c(x), i.e. possible costs.

You can derive this from the fact that c(x) is a parabole and you can draw it, for which you can find the vertex of the parabola, the roots, the y-intercept, the shape (it open upwards given that the cofficient of x^2 is positive). Also limit the costs to be positive.

You can substitute some values for x to help you, for example:

x y
0 200
1 200 -7 +0.345 = 193.345
2 200 - 14 + .345 (4) = 187.38
3 200 - 21 + .345(9) = 182.105
4 200 - 28 + .345(16) = 177.52
5 200 - 35 + 0.345(25) = 173.625
6 200 - 42 + 0.345(36) = 170.42

10 200 - 70 + 0.345(100) =164.5
11 200 - 77 + 0.345(121) = 164.745


The functions does not have real roots, then the costs never decrease to 0.

The function starts at c(x) = 200, decreases until the vertex, (x =10, c=164.5) and starts to increase.

Then the range goes to 164.5 to infinity, limited to the solutcion for x = positive integers.

Use the figure to write and solve an equation for x.

Answers

Answer:

x = 33

Step-by-step explanation:

If you have any questions about the way I solved it, don't hesitate to ask :)

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